2009 <<<                      >>> 2011

Front

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Research Skills - Kari Dalnoki-Veress

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Theoretical Physics - Nima Arkani-Hamed

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Maths and Mathematica - Pedro Vieira

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Core

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Quantum Theory - Ben Schumacher

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  • Lecture 2 - Heisenberg and Schroedinger Pictures. Rotation of spin-1/2 particles
  • Lecture 3 - Conservation laws, symmetries and generators
  • Lecture 6 - Composite systems. Addition of angular momenta
  • Lecture 9 - Partial trace; Schmidt decomposition; Open system dynamics; Kraus operators
  • Lecture 10 - Markovian approximation and Lindblad equation. CP maps. Wonderful theorem
  • Lecture 11 - Generalized measurements. Application to thermodynamics. Entropy
  • Lecture 12 - Distinguishability. No signaling. Decoding theorem. Information isolation theorem. No cloning theorem as a corollary to information isolation theorem
  • Lecture 14 - Quantum circuits. Function evaluation. Deutsch-Jozsa Problem

Relativity - Neil Turok

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  • Lecture 1 - Special Relativity: Lorentz transform., Maxwell equations
  • Lecture 2 - Special Relativity: 4-velocity, 4-momentum, rest energy
  • Lecture 3 - Stress-energy tensor. Curved manifolds and tensors
  • Lecture 4 - Principle of equivalence, metric tensor, connections
  • Lecture 5 - Properties of metric tensor, transform. of tensors, torsion
  • Lecture 6 - Riemann and Ricci tensors and their properties
  • Lecture 7 - Geodesics, and geodesic deviations; Newtonian gravity
  • Lecture 8 - Einstein's equations and their properties
  • Lecture 9 - Schwarzschild solution and gravitational radius
  • Lecture 10 - Einstein-Hilbert action, variational principle
  • Lecture 11 - Particle in a gravitational field, bending of light
  • Lecture 12 - Black holes, Eddington-Finkelstein coordinates
  • Lecture 13 - Event horizon, Kruskal coordinates, gravitational collapse
  • Lecture 14 - Rotating black holes, Kerr metric, ergosphere

Quantum Field Theory 1 - Konstantin Zarembo

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Statistical Mechanics - Leo Kadanoff

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  • Lecture 3 - Gaussian distribution, partition function
  • Lecture 4 - Classical (Ising) and quantum (Heisenberg) spin chains
  • Lecture 5 - Renormalization in one dimension, transfer matrix
  • Lecture 6 - Two-dimensional Ising model, duality and critical point.
  • Lecture 7 - Random walks and diffusion equation
  • Lecture 9 - Hamiltonian dynamics, Liouville's theorem
  • Lecture 10 - Boltzmann equation, detailed balance and H-theorem
  • Lecture 11 - Phase transitions: history and mean-field approach
  • Lecture 12 - Phase transitions: renormalization near critical point

Quantum Field Theory 2 - François David

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  • Lecture 1 - Path integral quantization. Imaginary time. Quantum mechanics at finite temperature. Analogy with statistical mechanics
  • Lecture 2 - Path integral quantization. Imaginary time. Quantum mechanics at finite temperature. Analogy with statistical mechanics
  • Lecture 4 - phi^4 perturbation theory. Generating functionals for correlation functions
  • Lecture 5 - Generating functional for connected Green's functions. The quantum effective action
  • Lecture 6 - The quantum effective action continued. Feynman amplitudes and their short distance singularities
  • Lecture 7 - Short distance singularities of Feynman amplitudes continued. Operator product expansion
  • Lecture 8 - Renormalization of massless phi^4 theory
  • Lecture 9 - Renormalization group. The Beta function of massless phi^4 theory
  • Lecture 10 - Grassmann algebra. Berezin calculus. Wick's theorem for fermions. Feynman propagator for Dirac fields
  • Lecture 11 - Gauge theories. Non-abelian gauge theories. Action of Yang-Mills theory coupled to SU(2) Dirac fermions
  • Lecture 12 - Feynman rules for Yang-Mills theory coupled to SU(2) Dirac fermions. Problems related to gauge-fixing
  • Lecture 13 - Quantization of non-abelian gauge theories. Faddeev-Popov determinant
  • Lecture 14 - Feynman rules and the beta function of non-abelian gauge theories

Scientific Computation - Erik Sorensen

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  • Lecture 1 - Fortran90 basics: types of data, building blocks, interface
  • Lecture 2 - Fortran90: attributes, subroutines, scope rules
  • Lecture 3 - Fortran 90: modules, arrays, intrinsic procedures
  • Lecture 4 - Storage of variables in memory, elementary operations
  • Lecture 5 - Root finding; continued fractions
  • Lecture 6 - Computational errors and methods to reduce them
  • Lecture 7 - Differentiation; Richardson extrapolation
  • Lecture 8 - Methods for numerical integration
  • Lecture 9 - Schrodinger equation: Numerov's algorithm
  • Lecture 10 - Differential equations; predictor-corrector methods
  • Lecture 11 - Linear algebra: eigenvalue problem, Jacobi method
  • Lecture 13 - Generators of random numbers; Box-Muller algorithm
  • Lecture 14 - Monte Carlo integration; Metropolis algorithm

Conformal Field Theory - Jaume Gomis

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  • Lecture 2 - Classical and Quantum phase transitions
  • Lecture 5 - Primary and Secondary Conformal Fields
  • Lecture 15 - Correlation functions of the 2 dimensional Ising model

Mathematical Physics - Carl Bender

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  • Lecture 1 - Introduction to Perturbation theory
  • Lecture 2 - Physical interpretation of singularities in perturbation theory: The anharmonic oscillator
  • Lecture 6 - Convergence of Fourier series and Gibbs phenomenon
  • Lecture 8 - Euler and Borel summation of series
  • Lecture 9 - Continued functions and continued fractions
  • Lecture 11 - Feynman diagrams and Pade approximants
  • Lecture 12 - Feynman diagrams in 1+0 dimensional field theory
  • Lecture 13 - Asymptotics basics, Asymtotic approximate solutions to differential equations and WKBJ approximation
  • Lecture 14 - Asymptotic series, Stokes phenomena, Stieltjes series and Stieltjes functions
  • Lecture 15 - Stiltjes functions, Carleman condition, perturbation theory and dispersion relation

Review

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Standard Model (Review) - Michael Peskin

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  • Lecture 3 - Particle detectors and scattering cross-section
  • Lecture 7 - Lagrangian of String Interactions

Condensed Matter (Review) - John Berlinsky

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  • Lecture 1 - Basic concepts of Condensed Matter theory
  • Lecture 3 - Nearly free electrons and tight-binding models
  • Lecture 4 - Tight binding bend structure and interactions between electrons
  • Lecture 6 - Landau Fermi liquid: excitation spectrum
  • Lecture 8 - Perturbations in the Fermi Liquid
  • Lecture 10 - Superconductivity: Criteria for Super Fluid Flow

Foundations of Quantum Mechanics (Review) - Rob Spekkens

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  • Lecture 1 - The Orthodox postulates of Quantum Theory and the Realistic Strategy
  • Lecture 2 - Operational formulation of quantum theory
  • Lecture 3 - The most general types of preparations. The most general types of measurements: POVMs
  • Lecture 4 - The most general type of transformations and axiomatizations of quantum theory.
  • Lecture 5 - Axiomatic Quantum Mechanics(Lecture by Lucien Hardy)
  • Lecture 7 - Evidence in favour of PSI-epistemic hidden variable models
  • Lecture 8 - Classical complementarity as an epistemic restriction
  • Lecture 11 - Generalized notions of non-contextuality
  • Lecture 12 - Non-contextuality and Classicality; The deBroglie-Bohm Interpretation
  • Lecture 14- Remaining questions on deBroglie-Bhom; Collapse Theories
  • Lecture 15 - The Many Worlds Interpretation of Quantum Mechanics

Quantum Gravity (Review) - Renate Loll

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  • Lecture 2 - Linearized Einstein Equations and Gravitational Waves
  • Lecture 3 - Quantization of Gravitational Waves
  • Lecture 9 - Dirac Algebra and Quantizing the Constrained Systems
  • Lecture 14 - Nonperturbative Path Integral in Terms of Dynamical Triangulations
  • Lecture 15 - Some Results Related to the Causal Dynamical Triangulations Approach

Gravitational Physics (Review) - Ruth Gregory

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  • Lecture 1 - The Mathematical Toolbox of General Relativity
  • Lecture 2 - The Lie Derivative and Exterior Derivative
  • Lecture 3 - The Covariant Derivative and Cartan's Structural Equations
  • Lecture 10 - Gibbons-Hawking Boundary Term; Black Hole Thermodynamics
  • Lecture 12 - Kaluza-Klein Compactification and Monopoles
  • Lecture 13 - Linear Perturbation Theory the Black String Instability
  • Lecture 14 - Domain Walls, the Israel Equations Randall-Sundrum Models

Cosmology (Review) - Latham Boyle

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  • Lecture 2 - Differential Geometry and Palatini Action
  • Lecture 3 - Yang-Mill's Theory; Maximally Symmetric Space Times
  • Lecture 4 - Maximally Symmetric Space Times and FRW Universes
  • Lecture 6 - FRW Space Times: Kinematics and Dynamics
  • Lecture 8 - Thermodynamics in an Expanding Universe; Freeze out Big Bang Nucleosynthesis
  • Lecture 9 - Big Bang Nucleosynthesis; Cosmic Microwave Background (CMB)
  • Lecture 12 - WIMPS: Cold Thermal Relics, Non-Thermal Relics and Baryogenesis
  • Lecture 13 - Baryogenesis Inflation; The Flatness Problem; The Horizon Problem

Quantum Information (Review) - Daniel Gottesman

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  • Lecture 1 - Reversible Computation and Introduction to Quantum Circuits
  • Lecture 2 - Universal Set of Quantum Gates; No Cloning Theorem; Quantum Teleportation
  • Lecture 4 - Implementations of Quantum Computing
  • Lecture 6 - Complexity Theory the Deutsch-Josza Algorithm

String Theory (Review) - Freddy Cachazo

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  • Lecture 3 - Relativistic Actions for Particle String
  • Lecture 5 - Conserved Charges and String Quantization
  • Lecture 7 - Quantum Gravity from Bosonic Strings
  • Lecture 9 - Quantization and Constraints of Fermionic Strings
  • Lecture 12 - Type IIA and type IIB Superstrings; String Geometry

Beyond the Standard Model (Review) - Veronica Sanz

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  • Lecture 1 - Introduction to BSM Physics; Dark Matter
  • Lecture 2 - Baryon Asymmetry; Neutrino Mass; The Hierarchy Problem
  • Lecture 3 - Global, Local, Spontaneously Broken Accidental Symmetries; Confronting BSM models with data
  • Lecture 4 - Supersymmetry; Cancellation of Quadratic Divergences
  • Lecture 5 - The Susy Algebra and its Representations; the Minimal Supersymmetric Standard Model and Soft Susy Breaking
  • Lecture 6 - Dark Matter; Gauge Coupling Unification; Supersymmetry breaking
  • Lecture 7 - Supersymmetry Breaking; The Supertrace; Gauge and Gravity Mediation Scenarios
  • Lecture 8 - Introduction to Extra Dimensions; The ADD Scenario (Large Extra Dimensions); Collider Signatures (Black Holes)
  • Lecture 9 - Generating Hierarchies without Symmetry; Randall-Sundrum Models; Wavefunction Localisation
  • Lecture 10 - Custodial Symmetry; Model Building with Strong-Coupled Dynamics; Seiberg Duality
  • Lecture 11 - Scalar Fields in AdS; Holography Phenomenology
  • Lecture 12 - Building Holographic Models of ElctroWeak Symmetry Breaking
  • Lecture 13 - Holographic Technicolor and ElectroWeak Precision Data; Extra-dimensional Higgs as a Pseudo-Goldstone Boson
  • Lecture 14 - Q A Session: Naive Dimensional Analysis, QFT on a Lattice